by elimiation method sum 5(x-2)+3y=1, 3(x+1)+5(y-3)=1
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Solution:
The given equations are:
2x + y = -4 …………… (i)
5x – 3y = 1 …………… (ii)
Multiply equation (i) by 3, we get;
{2x + y = -4} …………… {× 3}
6x + 3y = -12 …………… (iii)
Adding (ii) and (iii), we get;
Elimination method
or, x = -11/11
or, x = -1
Substituting the value of x = -1 in equation (i), we get;
2 × (-1) + y = -4
-2 + y = -4
-2 + 2 + y = -4 + 2
y = -4 + 2
y = -2
Therefore, x = -1 and y = -2 is the solution of the system of equations 2x + y = -4 and 5x – 3y = 1
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